34313288231343 has 64 divisors (see below), whose sum is σ = 52097054736384. Its totient is φ = 19909144080000.

The previous prime is 34313288231309. The next prime is 34313288231359.

34313288231343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34313288231343 - 2⁸ = 34313288231087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34313288231292 and 34313288231301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34313288230343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11682498 + ... + 14321568.

It is an arithmetic number, because the mean of its divisors is an integer number (814016480256).

Almost surely, 2^{34313288231343} is an apocalyptic number.

34313288231343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34313288231343 is a deficient number, since it is larger than the sum of its proper divisors (17783766505041).

34313288231343 is a wasteful number, since it uses less digits than its factorization.

34313288231343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639316.

The product of its digits is 2985984, while the sum is 48.

The spelling of 34313288231343 in words is "thirty-four trillion, three hundred thirteen billion, two hundred eighty-eight million, two hundred thirty-one thousand, three hundred forty-three".